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1153532130 = 235294173443
BaseRepresentation
bin100010011000001…
…1000000011100010
32222101120111121020
41010300120003202
54330301012010
6310244110310
740404601302
oct10460300342
92871514536
101153532130
11542158843
12282395396
13154ca49ba
14ad2b5602
156b40c470
hex44c180e2

1153532130 has 128 divisors (see below), whose sum is σ = 2980696320. Its totient is φ = 285143040.

The previous prime is 1153532129. The next prime is 1153532131. The reversal of 1153532130 is 312353511.

It is an interprime number because it is at equal distance from previous prime (1153532129) and next prime (1153532131).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1153532130.

It is not an unprimeable number, because it can be changed into a prime (1153532131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2603689 + ... + 2604131.

It is an arithmetic number, because the mean of its divisors is an integer number (23286690).

Almost surely, 21153532130 is an apocalyptic number.

1153532130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1153532130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490348160).

1153532130 is an abundant number, since it is smaller than the sum of its proper divisors (1827164190).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1153532130 is a wasteful number, since it uses less digits than its factorization.

1153532130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 1153532130 is about 33963.6884039411. The cubic root of 1153532130 is about 1048.7610875143.

Adding to 1153532130 its reverse (312353511), we get a palindrome (1465885641).

The spelling of 1153532130 in words is "one billion, one hundred fifty-three million, five hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 41 58 73 82 87 123 145 146 174 205 219 246 290 365 410 435 438 443 615 730 870 886 1095 1189 1230 1329 2117 2190 2215 2378 2658 2993 3567 4234 4430 5945 5986 6351 6645 7134 8979 10585 11890 12702 12847 13290 14965 17835 17958 18163 21170 25694 29930 31755 32339 35670 36326 38541 44895 54489 63510 64235 64678 77082 86797 89790 90815 97017 108978 128470 161695 173594 181630 192705 194034 260391 272445 323390 385410 433985 485085 520782 526727 544890 867970 937831 970170 1053454 1301955 1325899 1580181 1875662 2603910 2633635 2651798 2813493 3160362 3977697 4689155 5267270 5626986 6629495 7900905 7955394 9378310 13258990 14067465 15801810 19888485 28134930 38451071 39776970 76902142 115353213 192255355 230706426 384510710 576766065 1153532130